The quasilinearization method for boundary value problems on time scales

被引：14

作者：

Atici, FM ^{[1
]}

Eloe, PW

Kaymakçalan, B

机构：

[1] Western Kentucky Univ, Dept Math, Bowling Green, KY 42101 USA

[2] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[3] Georgia So Univ, Dept Math & Comp Sci, Statesboro, GA 30460 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 276卷 / 01期

关键词：

time scales; quasilinearization; boundary value problem; coupled solutions;

D O I：

10.1016/S0022-247X(02)00466-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply the method of quasilinearization to a family of boundary value problems for second order dynamic equations -y(Deltadel) + q (t) y = H (t, y) on time scales. The results include a variety of possible cases when H is either convex or a splitting of convex and concave parts and whether lower and upper solutions are of natural form or of natural coupled form. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：357 / 372

页数：16

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